Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 2


Published
on

November 12, 2021


Pages


DOI

Article

Study of statistical damage constitutive model of layered composite rock under triaxial compression


Authors

Yong-Sheng Liu Affiliation:
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, Jiangxi 330013, China
, Zhuan-Zhuan Qiu Affiliation:
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, Jiangxi 330013, China
, Xue-Cai Zhan Affiliation:
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, Jiangxi 330013, China
, Hui-Nan Liu Affiliation:
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, Jiangxi 330013, China
and Hai-Nan Gong Affiliation:
School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, Jiangxi 330013, China


Abstract

The layered composite rock was subjected to triaxial compression tests under constant confining pressure and the stress–strain curves under different confining pressures were obtained. Based on the continuous damage theory and statistical strength theory, it is assumed that the strength of rock microelements obeys Weibull distribution by taking the defects such as random micro-cracks in the rock into account. The statistical constitutive model of layered composite rock with damage correction is established by taking the axial strain of rock as a random distribution variable of microelement strength. The model parameters were determined by the curve fitting method and referring to some test parameters. By comparing the experimental data and the constitutive model curve, the rationality and feasibility of the model are verified.


Keywords

layered composite rock, Weibull distribution, damage variable correction factor, damage constitutive model


Citation

Liu, Y., Qiu, Z., Zhan, X., Liu, H., & Gong, H. (2021). Study of statistical damage constitutive model of layered composite rock under triaxial compression. Applied Mathematics and Nonlinear Sciences, 6(2). https://doi.org/10.2478/amns.2021.2.00048

Published by: Engineering Journals

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